Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On a result of Thomassen
HTML articles powered by AMS MathViewer

by Péter Komjáth PDF
Proc. Amer. Math. Soc. 144 (2016), 3569-3572 Request permission

Abstract:

We give a new proof of Thomassen’s theorem stating that if the chromatic (coloring) number of a graph $X$ is $>\kappa$, then $X$ contains a $\kappa$-edge-connected subgraph with similar properties.
References
  • G. Fodor, Proof of a conjecture of P. Erdös, Acta Sci. Math. (Szeged) 14 (1952), 219–227. MR 59334
  • András Hajnal and Peter Hamburger, Set theory, London Mathematical Society Student Texts, vol. 48, Cambridge University Press, Cambridge, 1999. Translated from the 1983 Hungarian original by Attila Máté. MR 1728582, DOI 10.1017/CBO9780511623561
  • S. Shelah, Notes on partition calculus, Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erdős on his 60th birthday), Vol. III, Colloq. Math. Soc. János Bolyai, Vol. 10, North-Holland, Amsterdam, 1975, pp. 1257–1276. MR 0406798
  • Saharon Shelah, A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals, Israel J. Math. 21 (1975), no. 4, 319–349. MR 389579, DOI 10.1007/BF02757993
  • C. Thomassen, Infinitely connected subgraphs of uncountable chromatic number, Combinatorica, to appear.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 03E05, 05C15
  • Retrieve articles in all journals with MSC (2010): 03E05, 05C15
Additional Information
  • Péter Komjáth
  • Affiliation: Institute of Mathematics, Eötvös University, Budapest, Pázmány P. s. 1/C, 1117, Hungary
  • MR Author ID: 104465
  • Email: kope@cs.elte.hu
  • Received by editor(s): August 27, 2015
  • Received by editor(s) in revised form: September 16, 2015
  • Published electronically: December 21, 2015
  • Communicated by: Mirna Džamonja
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 3569-3572
  • MSC (2010): Primary 03E05; Secondary 05C15
  • DOI: https://doi.org/10.1090/proc/12990
  • MathSciNet review: 3503724